Solve for x, an inequality problem

[flora33]

Hello, so I'm pretty sure I've got this down, but I just want to check with you, the masters! So the teacher wrote:
"The solution should be presented with x first, the correct inequality symbol, then the number."
3(4x – 5) < 9
12x-15 < 9
12x-15+15 < 9 + 15
12x < 24
12x/12 = x
24/12 = 2

x = 2
2 < 9
(x-?,2) Did I present the problem correct as requested by the instructor? I hope it's ok that I'm asking for you to help me decipher what he meant! When I do the problems in the book, it doesn't ask you to repeat x in the solution. It doesn't look exactly right to me, but I'm only going off the book examples! Thanks all!

 

[skeeter]

12x-15 < 9
12x-15+15 < 9 + 15
12x < 24
12x/12 < 24/12
x < 2

 

[flora33]

12x-15 < 9
12x-15+15 < 9 + 15
12x < 24
12x/12 < 24/12
x < 2

Ok, I was just looking at it again, and realized that I didn't need to add that symbol in. I was getting confused with a different type of problem. Thanks!

 

[flora33]

12x-15 < 9
12x-15+15 < 9 + 15
12x < 24
12x/12 < 24/12
x < 2

Ok, I was just looking at it again, and realized that I didn't need to add that symbol in. I was getting confused with a different type of problem. Thanks!

So also, I would not put the 2 < 9 in as part of the answer? That is not the answer I guess... because I'm solving for x. I wasn't reading closely enough!